The Rational Roots Theorem

According to the Rational Root Theorem, which number is a potential root of f(x)= 9x^8 + 9x^6 - 12x + 7?

7/3

The graph of f(x)= x^6 - 2x^4 - 5x^2 + 6 is shown below. How many roots of f(x) are rational numbers?

2

What is the completely factored form of f(x)= x^3 - 2x^2 - 5x + 6?

f(x)= (x + 2)(x - 3)(x - 1)

Which is a factor of the polynomial f(x)= 6x^4 - 21x^3 - 4x^2 + 24x - 35?

2x - 7

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x)= 3x^5 - 2x^4 + 9x^3 - x^2 + 12?

f(x)= 3x^5 - 2x^4 - 9x^3 - x^2 + 3

According to the Rational Root Theorem, what are all the potential rational roots of f(x)= 9x^4 - 2x^2 - 3x + 4?

+/- 1/9, +/- 2/9, +/- 1/3, +/- 4/9, +/- 2/3, +/- 1, +/- 4/3, +/- 2, +/- 4

According to the Rational Root Theorem, the following are potential roots of f(x)= 60x^2 - 57x - 18. -6/5, -1/4, 3, 6. Which is an actual root of f(x)?

-1/4

The graph of f(x)= 2x^3 - 19x^2 + 57x - 54 is shown below. How many roots of f(x) are rational numbers?

3

The polynomial function f(x)= 10x^6 + 7x - 7 is graphed below. According to the rational roots theorem, which is a possible root at point P?

The root at point P may be 7/10.

According to the Rational Roots Theorem, which statement about f(x)= 25x^7 - x^6 - 5x^4 + x - 49 is true?

Any national root of f(x) is a factor of -49 divided by a factor of 25.